Details

Time bar (total: 2.5s)

sample11.0ms

Algorithm
intervals
Results
5.0ms338×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2102

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x 3.0) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
4.0ms
(* (* x 3.0) x)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (* x 3.0) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
09472
143357
2229557
3500156

prune23.0ms

Filtered
21 candidates to 10 candidates (47.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New16521
Fresh000
Picked011
Done000
Total16622

Merged error: 0.0b

Counts
22 → 6

localize5.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x 3.0) x)
0.3b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
22.1b
(sqrt (* (* x 3.0) x))
22.1b
(sqrt (* (* x 3.0) x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
add-cube-cbrt *-un-lft-identity
associate-*r*
sqrt-prod
associate-*l*
swap-sqr prod-exp cbrt-unprod add-log-exp
*-commutative
pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
5.0ms
(* (* x 3.0) x)
11.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
3.0ms
(sqrt (* (* x 3.0) x))
3.0ms
(sqrt (* (* x 3.0) x))

series165.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* x 3.0) x)
70.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
33.0ms
(sqrt (* (* x 3.0) x))
33.0ms
(sqrt (* (* x 3.0) x))

simplify41.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0177368
1939307
25001296

prune120.0ms

Filtered
120 candidates to 49 candidates (40.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1164120
Fresh224
Picked101
Done011
Total1197126

Merged error: 0.0b

Counts
126 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
0.6b
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
22.1b
(sqrt (* (* x 3.0) x))
22.1b
(sqrt (* (* x 3.0) x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×sqrt-prod
25×pow1
20×associate-*l*
18×unpow-prod-down cube-prod
16×add-cube-cbrt *-un-lft-identity
14×sqrt-pow1
12×unswap-sqr
10×add-exp-log
pow-prod-down
pow-pow associate-*r* add-cbrt-cube
pow1/2 add-log-exp sqr-pow
pow-unpow prod-exp
cube-mult pow-to-exp unpow3 pow-exp
pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 115
Calls
4 calls:
13.0ms
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
6.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
4.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

series330.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
187.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
38.0ms
(sqrt (* (* x 3.0) x))
34.0ms
(sqrt (* (* x 3.0) x))

simplify63.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0324962
11582746
25001653

prune370.0ms

Filtered
127 candidates to 65 candidates (51.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1261127
Fresh055
Picked011
Done011
Total1268134

Merged error: 0.0b

Counts
134 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (sqrt (sqrt (* (* x 3.0) x))) 5/2)
0.7b
(pow (sqrt (sqrt (sqrt (* (* x 3.0) x)))) 3)
22.1b
(sqrt (* (* x 3.0) x))
22.1b
(sqrt (* (* x 3.0) x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
33×pow1
31×sqrt-prod
29×sqrt-pow1
17×unpow-prod-down
16×pow-pow
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×pow-prod-down
10×cube-prod
pow1/2
add-exp-log pow-unpow
add-cbrt-cube
add-log-exp
pow-to-exp pow-exp sqrt-pow2 sqr-pow
cube-mult unpow3 rem-cube-cbrt
Counts
4 → 98
Calls
4 calls:
6.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 5/2)
7.0ms
(pow (sqrt (sqrt (sqrt (* (* x 3.0) x)))) 3)
4.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

series627.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 5/2)
305.0ms
(pow (sqrt (sqrt (sqrt (* (* x 3.0) x)))) 3)
38.0ms
(sqrt (* (* x 3.0) x))
34.0ms
(sqrt (* (* x 3.0) x))

simplify48.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0434714
11532666
25001628

prune192.0ms

Filtered
110 candidates to 61 candidates (55.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1091110
Fresh145
Picked101
Done022
Total1117118

Merged error: 0.0b

Counts
118 → 7

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample260.0ms

Algorithm
intervals
Results
155.0ms10644×body80valid

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